67+((80*4)+40):90)-720:8:30=

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Introduction

Mathematical Expressions and Operations are an essential part of mathematics, and understanding them is crucial for solving various mathematical problems. In this article, we will explore a complex mathematical expression, 67+((80*4)+40):90)-720:8:30=, and break it down step by step to find its solution.

Understanding the Expression

The given expression is a combination of arithmetic operations, including addition, multiplication, and division. To solve this expression, we need to follow the order of operations (PEMDAS):

  1. Parentheses: Evaluate expressions inside parentheses first.
  2. Exponents: Evaluate any exponential expressions next (none in this case).
  3. Multiplication and Division: Evaluate multiplication and division operations from left to right.
  4. Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Breaking Down the Expression

Let's break down the expression into smaller parts and evaluate each part step by step:

Part 1: (80*4)+40

  • Multiply 80 and 4: 80*4 = 320
  • Add 40 to the result: 320 + 40 = 360

Part 2: 67+360

  • Add 67 and 360: 67 + 360 = 427

Part 3: 427:90

  • Divide 427 by 90: 427 ÷ 90 = 4.76 (rounded to two decimal places)

Part 4: 720:8:30

  • Divide 720 by 8: 720 ÷ 8 = 90
  • Divide the result by 30: 90 ÷ 30 = 3

Part 5: 4.76 - 3

  • Subtract 3 from 4.76: 4.76 - 3 = 1.76

Conclusion

By following the order of operations and breaking down the expression into smaller parts, we can find the solution to the given mathematical expression: 67+((80*4)+40):90)-720:8:30= is equal to 1.76.

Real-World Applications

Understanding mathematical expressions and operations is crucial in various real-world applications, such as:

  • Finance: Mathematical expressions are used to calculate interest rates, investment returns, and other financial metrics.
  • Science: Mathematical expressions are used to model physical phenomena, such as motion, energy, and thermodynamics.
  • Engineering: Mathematical expressions are used to design and optimize systems, such as bridges, buildings, and electronic circuits.

Tips and Tricks

  • Practice: Practice solving mathematical expressions and operations to improve your skills and build confidence.
  • Use Tools: Use online calculators or software to help you solve complex mathematical expressions.
  • Break Down: Break down complex expressions into smaller parts to make them easier to solve.

Common Mistakes

  • Incorrect Order of Operations: Failing to follow the order of operations (PEMDAS) can lead to incorrect solutions.
  • Incorrect Calculation: Making errors in calculation, such as incorrect addition or subtraction, can lead to incorrect solutions.
  • Lack of Practice: Failing to practice solving mathematical expressions and operations can lead to a lack of understanding and confidence.

Conclusion

In conclusion, the mathematical expression 67+((80*4)+40):90)-720:8:30= is a complex combination of arithmetic operations. By following the order of operations and breaking down the expression into smaller parts, we can find the solution to the expression. Understanding mathematical expressions and operations is crucial in various real-world applications, and practicing solving these expressions can help build confidence and improve skills.

Introduction

In our previous article, we explored the complex mathematical expression 67+((80*4)+40):90)-720:8:30= and broke it down step by step to find its solution. In this article, we will answer some frequently asked questions (FAQs) related to the expression and provide additional insights and explanations.

Q&A

Q: What is the order of operations (PEMDAS)?

A: The order of operations (PEMDAS) is a set of rules that dictate the order in which mathematical operations should be performed. The acronym PEMDAS stands for:

  • Parentheses: Evaluate expressions inside parentheses first.
  • Exponents: Evaluate any exponential expressions next (none in this case).
  • Multiplication and Division: Evaluate multiplication and division operations from left to right.
  • Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Q: How do I evaluate the expression (80*4)+40?

A: To evaluate the expression (804)+40, you need to follow the order of operations (PEMDAS). First, multiply 80 and 4: 804 = 320. Then, add 40 to the result: 320 + 40 = 360.

Q: What is the value of 427:90?

A: To evaluate the expression 427:90, you need to divide 427 by 90: 427 ÷ 90 = 4.76 (rounded to two decimal places).

Q: How do I evaluate the expression 720:8:30?

A: To evaluate the expression 720:8:30, you need to follow the order of operations (PEMDAS). First, divide 720 by 8: 720 ÷ 8 = 90. Then, divide the result by 30: 90 ÷ 30 = 3.

Q: What is the final solution to the expression 67+((80*4)+40):90)-720:8:30=?

A: By following the order of operations and breaking down the expression into smaller parts, we can find the solution to the expression: 67+((80*4)+40):90)-720:8:30= is equal to 1.76.

Q: What are some real-world applications of mathematical expressions and operations?

A: Mathematical expressions and operations are used in various real-world applications, such as:

  • Finance: Mathematical expressions are used to calculate interest rates, investment returns, and other financial metrics.
  • Science: Mathematical expressions are used to model physical phenomena, such as motion, energy, and thermodynamics.
  • Engineering: Mathematical expressions are used to design and optimize systems, such as bridges, buildings, and electronic circuits.

Q: How can I practice solving mathematical expressions and operations?

A: You can practice solving mathematical expressions and operations by:

  • Using online calculators or software: Online calculators or software can help you solve complex mathematical expressions.
  • Breaking down complex expressions: Break down complex expressions into smaller parts to make them easier to solve.
  • Practicing with sample problems: Practice solving sample problems to build your skills and confidence.

Conclusion

In conclusion, the mathematical expression 67+((80*4)+40):90)-720:8:30= is a complex combination of arithmetic operations. By following the order of operations and breaking down the expression into smaller parts, we can find the solution to the expression. Understanding mathematical expressions and operations is crucial in various real-world applications, and practicing solving these expressions can help build confidence and improve skills.

Additional Resources

  • Online calculators or software: Online calculators or software can help you solve complex mathematical expressions.
  • Mathematical textbooks or resources: Mathematical textbooks or resources can provide additional insights and explanations on mathematical expressions and operations.
  • Practice problems: Practice problems can help you build your skills and confidence in solving mathematical expressions and operations.